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Modulation instability, Fermi-Pasta-Ulam recurrence, rogue waves, nonlinear phase shift, and exact solutions of the Ablowitz-Ladik equation

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dc.contributor.authorAkhmediev, Nail
dc.contributor.authorAnkiewicz, Adrian
dc.date.accessioned2015-12-10T23:36:58Z
dc.date.issued2011
dc.date.updated2016-02-24T08:24:41Z
dc.description.abstractWe study modulation instability (MI) of the discrete constant-background wave of the Ablowitz-Ladik (A-L) equation. We derive exact solutions of the A-L equation which are nonlinear continuations of MI at longer times. These periodic solutions comprise a
dc.identifier.issn1539-3755
dc.identifier.urihttp://hdl.handle.net/1885/70364
dc.publisherAmerican Physical Society
dc.rightsCopyright Information: © 2011 American Physical Society. http://www.sherpa.ac.uk/romeo/issn/1539-3755/..."Publisher's version/PDF may be used. On author's personal website, employer's website or institutional repository" from SHERPA/RoMEO site (as at 16/0
dc.rightsAuthor/s retain copyrighten_AU
dc.sourcePhysical Review E-Statistical, Nonlinear and Soft Matter Physics
dc.subjectKeywords: Background field; Exact solution; Fermi-Pasta-Ulam paradoxes; Field state; First-order; Initial perturbation; Modulation instabilities; Nonlinear evolutions; Nonlinear phase shift; Periodic solution; Rational solution; Rogue waves; Phase shift; Nonlinear
dc.titleModulation instability, Fermi-Pasta-Ulam recurrence, rogue waves, nonlinear phase shift, and exact solutions of the Ablowitz-Ladik equation
dc.typeJournal article
dcterms.accessRightsOpen Accessen_AU
local.bibliographicCitation.issue046603
local.bibliographicCitation.lastpage10
local.bibliographicCitation.startpage1
local.contributor.affiliationAkhmediev, Nail, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationAnkiewicz, Adrian, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidAkhmediev, Nail, u9111648
local.contributor.authoruidAnkiewicz, Adrian, u8204998
local.description.notesImported from ARIES
local.identifier.absfor010502 - Integrable Systems (Classical and Quantum)
local.identifier.absfor010204 - Dynamical Systems in Applications
local.identifier.absfor029902 - Complex Physical Systems
local.identifier.absseo970102 - Expanding Knowledge in the Physical Sciences
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
local.identifier.ariespublicationf2965xPUB2300
local.identifier.citationvolume83
local.identifier.doi10.1103/PhysRevE.83.046603
local.identifier.scopusID2-s2.0-79961059929
local.identifier.thomsonID000290116400004
local.type.statusPublished Version

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